Connection between Space-Time Supersymmetry and Non-Commutative Geometry

Abstract

We show that $N=2$ and $N=4$ extended supersymmetric Yang-Mills theories in four space-time dimensions could be derived as action functionals for non-commutative spaces. The coupling of $N=1$ and $N=2$ super Yang-Mills to $N=1$ and $N=2$ matter could be derived as action functionals of non-commutative spaces only for a restricted class of models where a general superpotential is not allowed.

12 pages, ETH/TH/94-12

References in corpus (2)

• Gravity in Non-Commutative Geometry
• Grand Unification in Non-Commutative Geometry

Cited by in corpus (12)

• Noncommutative Geometry and D-Branes
• Supersymmetric QCD and noncommutative geometry
• A survey of spectral models of gravity coupled to matter
• Supersymmetry and Noncommutative Geometry
• Dimensionally Reduced Yang-Mills Theories in Noncommutative Geometry
• The Scalar Potential in Noncommutative Geometry
• A symmetry breaking mechanism by parity assignment in the noncommutative Higgs model
• Gauge Theories Coupled to Fermions in Generation
• Gauge Symmetry Breaking in Models inspired by Non-Commutative Geometry
• BRST invariant formulation of spontaneously broken gauge theory in generalized differential geometry
• Point-Like Structure in Strings and Non-Commutative Geometry
• Induced QCD from the Noncommutative Geometry of a Supermanifold